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Finding the Fourth Proportional to 21,564.93, 32,347.09 and 6,774.74

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Solution

The fourth proportional to 21,564.93, 32,347.09 and 6,774.74 is: 10,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.93 : 32,347.09 = 6,774.74 : x
  2. Step 2: Convert to fraction form
    21,564.93/32,347.09 = 6,774.74/x
  3. Step 3: Cross multiply
    21,564.93x = 32,347.09 × 6,774.74
  4. Step 4: Simplify right side
    21,564.93x = 219,142,928.90
  5. Step 5: Solve for x
    x = 219,142,928.90/21,564.93
  6. Step 6: Final answer
    x = 10,162.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.